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Finding the Third Proportional to 30,807 and 49,035

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Solution

The third proportional to 30,807 and 49,035 is: 78,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 49,035 = 49,035 : x
  2. Step 2: Convert to fraction form
    30,807/49,035 = 49,035/x
  3. Step 3: Cross multiply
    30,807x = 49,035 × 49,035
  4. Step 4: Simplify right side
    30,807x = 2,404,431,225
  5. Step 5: Solve for x
    x = 2,404,431,225/30,807
  6. Step 6: Final answer
    x = 78,048.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.